{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Navigating Rates"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Summary\n",
    "\n",
    "Following the spike in USD swaption implied vol last summer, vols have come down materially. When we dissect the moves of the vol surface over the past 2 years, we find that:\n",
    "\n",
    "* Vols on 1y tails are back at lows while vols on 10y tails haven’t fully retraced from last summer's spike. \n",
    "* Skew on 1y tails remains bid for receivers (and payers trade close to flat vs. ATM) while payer skew on 10y tails has richened translating into a flat skew but very high smile (both receiver and payer skews are high). \n",
    "\n",
    "Given these findings, we look at a hypothetical scenario analysis of a short 3m10y strangle over time. \n",
    "\n",
    "\n",
    "The content of this notebook is split into:\n",
    "* [1 - Let's get started with gs quant](#1---Let's-get-started-with-gs_quant)\n",
    "* [2 - Implied volatility in historical context](#2---Implied-volatility-in-historical-context)\n",
    "* [3 - Skew](#3---Skew)\n",
    "* [4 - Potential structures](#4---Potential-structures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1 - Let's get started with gs_quant"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Start every session with authenticating with your unique client id and secret. If you don't have a registered app, create one [here](https://marquee.gs.com/s/developer/myapps/register). `run_analytics` scope is required for the functionality covered in this example. Below produced using gs-quant version 0.8.95."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.session import GsSession\n",
    "GsSession.use(client_id=None, client_secret=None, scopes=('run_analytics',)) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 - Implied volatility in historical context"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's start by looking at the implied volatility of 1y and 10y payer and receiver swaptions expiring at 3m.\n",
    "\n",
    "To do that, let's first create the 8 swaptions (2 types x 2 expiries x 2 strikes) and put them in a portfolio. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.markets.portfolio import Portfolio\n",
    "from gs_quant.common import Currency, PayReceive\n",
    "from gs_quant.instrument import IRSwaption\n",
    "\n",
    "currency = Currency.USD\n",
    "expiry = '3m'\n",
    "notional = 1e8\n",
    "\n",
    "tenors = ('1y', '10y')\n",
    "r_strikes = ('ATMF', 'ATMF-50')\n",
    "p_strikes = ('ATMF', 'ATMF+50')\n",
    "\n",
    "receivers = [IRSwaption(PayReceive.Receive, tenor, currency, expiration_date=expiry, strike=strike, notional_amount=notional, name='{},{},{}'.format('R',tenor,strike)) for strike in r_strikes for tenor in tenors]\n",
    "payers = [IRSwaption(PayReceive.Pay, tenor, currency, expiration_date=expiry, strike=strike, notional_amount=notional, name='{},{},{}'.format('P',tenor,strike)) for strike in p_strikes for tenor in tenors]\n",
    "\n",
    "swaptions = payers + receivers\n",
    "port = Portfolio(swaptions)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now calculate annualized implied volatility for the last two years looking at month ends as well as the most recent date."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.markets import HistoricalPricingContext\n",
    "from gs_quant.risk import IRAnnualImpliedVol\n",
    "import pandas as pd\n",
    "import datetime as dt\n",
    "\n",
    "dates = pd.date_range('2018-01-01', '2020-01-01', freq='BM').date.tolist()\n",
    "dates.append(dt.date(2020,1,24))\n",
    "\n",
    "with HistoricalPricingContext(dates=dates): \n",
    "    vols = port.calc(IRAnnualImpliedVol)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now construct a dataframe with the results and plot it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0xffc1f98>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "d = pd.DataFrame({s.name: vols[s.name] for s in swaptions})\n",
    "d.plot(figsize=(10,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see in the charts above, implied vol for both 1y and 10y tenors has come in since 2019 highs but significantly more so for 1y tenor than 10y."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3 - Skew \n",
    "\n",
    "Let's now use the same data to take a look at skew."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "receiverSkew3m10y = d['R,10y,ATMF-50'] - d['R,10y,ATMF']\n",
    "payerSkew3m10y = d['P,10y,ATMF+50'] - d['P,10y,ATMF']\n",
    "\n",
    "receiverSkew3m1y = d['R,1y,ATMF-50'] - d['R,1y,ATMF']\n",
    "payerSkew3m1y = d['P,1y,ATMF+50'] - d['P,1y,ATMF']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(receiverSkew3m10y*10000,label='3m10y Receiver Skew')\n",
    "plt.plot(payerSkew3m10y*10000,label='3m10y Payer Skew')\n",
    "plt.legend(loc=\"upper left\")\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(receiverSkew3m1y*10000, label='3m1y Receiver Skew')\n",
    "plt.plot(payerSkew3m1y*10000, label='3m1y Payer Skew')\n",
    "plt.legend(loc=\"upper left\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the charts above we can see that 3m10y payer and receiver skew remains high but the spread between them has tightened. For the 1y tenor, however, the payer skew has flattened while receiver skew remains rich in the context of the last 2 years. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4 - Potential structures\n",
    "\n",
    "Let's now look at a 3m10y F+/-25 strangle to fade the steep vol smile. \n",
    "\n",
    "For this exercise, we will age it in a roll to spot scenario. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "strangles = {}\n",
    "labels = ('Inception', 'After 1m', 'After 2m', 'After 3m')\n",
    "expiries = ('3m', '2m', '1m', '1d')\n",
    "\n",
    "for label, expiry in zip(labels, expiries):\n",
    "    R = IRSwaption('Receive', '10y', 'USD', expiration_date=expiry, strike='ATMF-25', notional_amount=1e8)\n",
    "    P = IRSwaption('Pay', '10y', 'USD', expiration_date=expiry, strike='ATMF+25', notional_amount=1e8)\n",
    "    strangle = Portfolio((R, P))\n",
    "    strangle.resolve()\n",
    "    strangles[label] = strangle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now construct a set of spot shocks and examine the impact on price accross the different expiries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.risk import MarketDataShockBasedScenario, MarketDataPattern, MarketDataShock, MarketDataShockType\n",
    "from gs_quant.markets import PricingContext\n",
    "from gs_quant.risk import IRVegaParallel, Price\n",
    "from collections import defaultdict\n",
    "\n",
    "shocks = [x for x in range(-50, 55, 5)]\n",
    "results = defaultdict(dict)\n",
    "\n",
    "with PricingContext():\n",
    "    for expiry, strangle in strangles.items():\n",
    "        for shock in shocks:\n",
    "            ir_spot_scenario = MarketDataShockBasedScenario(shocks={\n",
    "                MarketDataPattern('IR', 'USD'): MarketDataShock(MarketDataShockType.Absolute, -shock / 10000),\n",
    "                MarketDataPattern('IR Reset', 'USD'): MarketDataShock(MarketDataShockType.Absolute, shock / 10000)})\n",
    "\n",
    "            with ir_spot_scenario:\n",
    "                results[expiry].update({shock:strangle.calc((Price, IRVegaParallel))})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now roll up the visualize the results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x133b0be0>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_res = {k:{shock:-x[Price].aggregate() for shock, x in v.items()} for k, v in results.items()}\n",
    "pd.DataFrame(p_res).plot(figsize=(10,6), title='Price by Shock')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1339df60>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "v_res = {k:{shock:-x[IRVegaParallel].aggregate() for shock, x in v.items()} for k, v in results.items()}\n",
    "pd.DataFrame(v_res).plot(figsize=(10,6), title='Vega by Shock')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally let's look at our breakevens as we move from inception to expiry."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(p_res).reindex(range(-50,50)).interpolate()\n",
    "breakeven = df.loc[0]['Inception']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.risk import IRSpotRate\n",
    "spot = strangles['Inception'][0].calc(IRSpotRate) * 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "top = pd.Series(dtype=float)\n",
    "bottom = pd.Series(dtype=float)\n",
    "\n",
    "for column in df.columns:\n",
    "    sl = df.iloc[(df[column]-breakeven).abs().argsort()[:2]]\n",
    "    a, b = sl[column].index\n",
    "    top.at[column] = a if a >= 0 else b\n",
    "    bottom.at[column] = a if a < 0 else b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x134355f8>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "(top/100 + spot).reindex(labels).plot(figsize=(10,6))\n",
    "(bottom/100 + spot).reindex(labels).plot(figsize=(10,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Please reach out to `gs-quant@gs.com` with any questions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Disclaimer\n",
    "This website may contain links to websites and the content of third parties (\"Third Party Content\"). We do not monitor, review or update, and do not have any control over, any Third Party Content or third party websites. We make no representation, warranty or guarantee as to the accuracy, completeness, timeliness or reliability of any Third Party Content and are not responsible for any loss or damage of any sort resulting from the use of, or for any failure of, products or services provided at or from a third party resource. If you use these links and the Third Party Content, you acknowledge that you are doing so entirely at your own risk."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
